Nonlinear Diffusion Equations and Their Equilibrium States I Munzinger Str. 9 Experimentelle Studien in der Praxis

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Nonlinear Diffusion Equations and Their Equilibrium States I Munzinger Str. 9 Experimentelle Studien in der PraxisIn recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D. u + f(u). Here D. denotes the n dimensional Laplacian, the solution u = u(x, t) is defined over some space time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as